content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
solve exponential equations
November 22nd 2008, 10:12 PM
Shyam
solve exponential equations
How would you solve the following exponential equations???
$x^x + y^y = 31$
$x^y + y^x = 17$
answer is 2 and 3. But i want to know the method to solve it.
I will be much thankful to you.
November 28th 2... | 4 | [
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-0.055419921875,
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0.0035552978515625,
0.08203125,
0.12158203125,
0.05712890625,
-0.07763671875,
-0.012... | 38,300 | 38300 | |
Existence of weakly compact cardinals
up vote 5 down vote favorite
I looked on the web to search for weakly compact cardinals. The web sources indicate many properties of weakly compact cardinals and say that their existence is not entailed by the axioms of ZFC.
However it is not indicated whether their existence is {... | 4 | [
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4x4 Complex repeated Eigenvalues
February 27th 2011, 10:24 AM
Borkborkmath
4x4 Complex repeated Eigenvalues
I'm trying to find the general solution for the following 4x4 matrix:
[0 1 1 0]
[-1 0 0 1]
[0 0 0 1]
[0 0 -1 0]
So far, I have the eigenvalues as repeated i, i, - i ,-i
Eigenvector... | 4 | [
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0.044677734375,
-0.059326171875,
... | 38,302 | 38302 | |
Math Help
April 18th 2008, 09:01 PM #1
Newbie
Joined
Apr 2008
From
WA
Posts
2
Hi! I'm new to the forums
There's a diagram showing the positions of towns O, A, B, and X.
Town A is 240 km E and 70 km N of O.
Town B is 480 km E and 250 km N of O.
Town X is 339 km E and 238 km N of O.
... | 4 | [
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-0.06640625,
-0.04516601562... | 38,303 | 38303 | |
Lost on Cubic Epsilon Delta proof
December 25th 2010, 07:34 PM #1
Newbie
Joined
Dec 2010
Posts
2
Lost on Cubic Epsilon Delta proof
For proving that
Delta epsilon proof: limit x->2 (x^3 - 3) = 5
The following proof is given:
Given e > 0 we need to find d > 0 such that
|x - 2| < d ==> |(x... | 5 | [
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Caculus Homework Help!!
August 6th 2006, 12:36 PM
Caycee7
Caculus Homework Help!!
I start my Ap Cal class tomarrow and our summer homework included some problems I just cannot figure out, :confused: any help would be amazing!
~factor and simplify. express answer as a fraction withought neg. exponiets
x(... | 4 | [
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0.095703125,
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0.09716796875,
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-0.02441406... | 38,305 | 38305 | |
undecidable sentences of first-order arithmetic whose truth values are unknown
up vote 17 down vote favorite
4
Godel's undecidable sentences in first-order arithmetic were guaranteed to be true, by construction. But are there examples of specific sentences known to be undecidable in first-order arithmetic
whose truth ... | 5 | [
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0.046875,
-0.... | 38,306 | 38306 | |
Getting $B_t$ from its local times $L^x_t$
up vote 1 down vote favorite
1
Hi
Given a Brownian Motion $B_t$ is it possible to reconstruct it from the knowledge of the local times $L^x_t$ ?
Using occupation time formula this would mean solving for some $f$ the following equation :
$$B_t=\int_{-\infty}^{+\infty}f(x)L^... | 4 | [
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0.03515625,
0.03857421... | 38,307 | 38307 | |
Polar Coordinates From Cartesian Coordinates
Date: 07/27/98 at 02:48:46
From: cherry
Subject: Polar coordinates
Find a pair of polar coordinates of the point whose cartesian
coordinates are (3, -3 sqrt(3)).
Please help me answer this.
Date: 07/27/98 at 17:23:55
From: Doctor Jaffee
Subject: Re: Polar coordinates
... | 4 | [
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-0.0043334... | 38,308 | 38308 | |
primitive root of a prime
December 13th 2009, 06:55 PM #1
Newbie
Joined
Oct 2009
Posts
12
primitive root of a prime
Hi,
let p be a prime congruent to 1 mod 3
let a be a prim root of p
suppose a is not congruent to 0 mod p
show that there is no solution x for the congruence x^2 = a mod p... | 4 | [
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-0.08935546875... | 38,309 | 38309 | |
Computing Derivatives - At A Glance
Topics
Introduction to Computing Derivatives - At A Glance:
The trigonometric functions are the functions used often in trigonometry:
sin(x), cos(x), tan(x), csc(x), sec(x), and cot(x).
We'll find the derivatives of some of these now, and some we'll leave until we've learned more... | 4 | [
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0.0... | 38,310 | 38310 | |
reduced symplectic form
up vote 1 down vote favorite
1
If you take a $G$ as any group acting on the dual of its lie algebra $g^{*}$ by the coadjoint action it is known that the coadjoint orbit $O_{\alpha}$ is a symplectic manifold with the KKS symplectic
form.
Now it is possible to take some copies of these coadjoint... | 4 | [
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0.03784... | 38,311 | 38311 | |
Definition of the Kervaire invariant for normal maps (as in Browder's book)
up vote 5 down vote favorite
Browder's book "Surgery on simply-connected manifolds" defines the Kervaire invariant in a very general setting. My question is: how does one get the more usual definition of the invariant for a
framed (or Wu-orine... | 4 | [
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Math Help
compute the lim as n approaches infinity (1/3n + 1/(3n + 1) + 1/(3n + 2) + ...+ 1/(4n -1))
Susie38 Let: $<br /> S_n=\frac{1}{3n}+\frac{1}{3n+1}+\dots+\frac{1}{4n-1}<br />$ Now (you will need to justify this, but its a standard trick): $<br /> \int_{3n}^{4n} \frac{1}{x-1}\ dx>S_n>\int_{3n}^
{4n} \frac{1}{x}\... | 5 | [
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-0.043212890625,
0.0257568359375,
-0.0... | 38,313 | 38313 | |
Syntax for propositions
Propositional or Boolean random variables
e.g., Cavity (do I have a cavity?)
Cavity = true is a proposition, also written cavity
Discrete random variables (finite or infinite)
e.g., W eather is one of sunny... | 5 | [
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-0.0446... | 38,314 | 38314 | |
Difficult Mathematical Induction
March 28th 2010, 02:32 PM #1
Member
Joined
Mar 2010
Posts
144
Difficult Mathematical Induction
a0 = 2, a1 = 3
for any k ≥ 2 (k is a whole number)
ak = 3ak-1 - 2ak-2
Prove: an = 2^(n) + 1
Let's use a stronger form of induction here.
Base case: $a_... | 4 | [
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... | 38,315 | 38315 | |
Ra
Math::NumSeq::RepdigitRadix -- radix in which i is a repdigit
use Math::NumSeq::RepdigitRadix;
my $seq = Math::NumSeq::RepdigitRadix->new;
my ($i, $value) = $seq->next;
The radix in which i is a repdigit,
2, 0, 0, 2, 3, 4, 5, 2, 3, 8, 4, 10, etc
starting i=0
i=0 is taken to be a repdigit "00" in base ... | 4 | [
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... | 38,316 | 38316 | |
differentiation problem
Differentiate for x (3x^2-4x+3)sin(2x) / 9 (6x-x^-1/2+3)2cos(2x)/9 am i on the right track -
Not yet, you need to employ the product rule here which is, if $\displaystyle y= vu \implies y'=vu'+uv'$ Do you follow?
Barely touched calculus- derived instantaneous gradient and looked at x^4 becomes... | 4 | [
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0.0756835... | 38,317 | 38317 | |
Existential quantification over regular predicates
up vote 4 down vote favorite
1
A regular language over an alphabet $\Sigma$ is a subset of the set of all words over $\Sigma$ that can be accepted by some finite automaton. A regular language identifies a certain property of
strings of $\Sigma^*$.
One can then define... | 4 | [
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Detecting if a polynomial is a Pfaffian
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Given an explicit polynomial, is there any kind of trick/algorithm to check whether it is a pfaffian of a matrix with linear entries... | 4 | [
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[SOLVED] P.D.F: Continuous random variables
March 15th 2010, 01:32 PM
Quacky
[SOLVED] P.D.F: Continuous random variables
Firstly, I must apologise for the poor notation. I tried to use the \array command but I couldn't get it to work.
1) The random variable Q has P.D.F given by:
$f(q)=kq^3$ if $0\leq q... | 5 | [
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-0... | 38,320 | 38320 | |
Lower bounds for Petersson inner products of cuspforms with integral Fourier coefficients
up vote 1 down vote favorite
1
Let $N\geq 1$ be an integer and let $S_2(\Gamma_0(N))$ be the cusp forms of weight 2 for the usual congruence subgroup $\Gamma_0(N)\subset SL_2(\mathbb Z)$. Let $a_n(f)$ denote the n-th Fourier
coef... | 5 | [
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... | 38,321 | 38321 | |
Finding the limit
June 24th 2006, 11:44 AM #1
Junior Member
Joined
Jun 2006
Posts
53
Finding the limit
I am to find the limit as n approaches infinity of (sqrt(n+) + sqrt(n-1) - 2sqrt(n).
I separated the last term and then grouped. I did this so I could multiply by a conjugate.
When I simplifie... | 5 | [
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-0.0002040863037109375,
-0.088378... | 38,322 | 38322 | |
Solving for a varible
February 8th 2011, 12:17 PM #1
Newbie
Joined
Feb 2011
Posts
21
Solving for a varible
I have an equation filled with variables, needing to solve for just one of them..
S = n*a + (n - 1)*d , solve for n
* = multiplication
what on earth do I do for this?
You can u... | 4 | [
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0.0830... | 38,323 | 38323 | |
Weird Trig Angle of Elevation problem + Azimuth Word Problem
November 30th 2009, 06:01 PM #1
Newbie
Joined
Oct 2009
Posts
19
Weird Trig Angle of Elevation problem + Azimuth Word Problem
I am having trouble with this one, it seems to work, but then it doesn't.
1.) A tree is 4.0m tall and has permanet... | 4 | [
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0.125,
-0.087890625,
0.08056640625,
-0.046... | 38,324 | 38324 | |
Connecting points on a variety by the image of a nonsingular curve
up vote 3 down vote favorite
In Hartshorne's proof of a result of Igusa (see III, 9.13 of Hartshorne) he claims without proof that any two closed points on a variety can be connected by the image of a nonsingular curve, or by a
finite number of such cu... | 4 | [
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-0.091796875,
-0.078125,
... | 38,325 | 38325 | |
Columbia Data Science course, week 4: K-means, Classifiers, Logistic Regression, Evaluation
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> Columbia Data Science course, week 4: K-means, Classifiers, Logistic Regression, Evaluation
Columbia Data Science course, week 4: K-means, Classif... | 4 | [
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... | 38,326 | 38326 | |
Utility question
August 5th 2010, 03:03 AM
quiney
Utility question
This problem requires the von Neumann-Morgenstern theorem to solve.
Let L = {A, B, C, D} be a set of lotteries. You are indifferent between receiving A for sure and a lottery that gives you B with probability 0.9 and C with probability 0.1. ... | 5 | [
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0.043701171875,
0.05517578125,
0.03369140625,
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0.0810546875,
0.009033203125,
0.0238037109375,
0.046142578125,
0.0303955078125,
-0.062011... | 38,327 | 38327 | |
Charge Time Calculation
A rectifier unit used to change alternating to direct power for charging a storage battery is called as a battery charger. It is also known as charger. A battery generally consists of an anode, a
cathode, and an electrolyte. The charge current depends upon the technology and capacity of the bat... | 4 | [
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0.0634765625,
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0.0274658203125,
0.0186767578125,
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0.03515625,
0.08935546875,
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0.0201416015625,
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0.057861328125,
0.052001953125,
-0.1142578125,
-0.056396484375,
-0.01116943359375,
0.021972656... | 38,328 | 38328 | |
AMC 12 Prob
Click here to go to the NEW College Di... | 4 | [
-0.08447265625,
0.01165771484375,
-0.007476806640625,
-0.046630859375,
-0.04296875,
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0.02587890625,
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0.008056640625,
0.09521484375,
-0.0341796875,
0.048828125,
-0.0081787109375,
-0.02685... | 38,329 | 38329 | |
A cylindrical frame volume max
December 14th 2006, 08:51 PM
Sky12
A cylindrical frame volume max
A cylindrical kite frame is to be constructed from a 4-m length of light bendable rod.
The frame will be made up of 2 circles joined by four straight rods of equal length. In order to maximize lift, the kite fra... | 5 | [
0.07275390625,
0.052978515625,
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0.03662109375,
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0.09814453125,
-0.01904296875,
0.01940917... | 38,330 | 38330 | |
Simple probability question...
April 21st 2008, 04:16 AM #1
Member
Joined
Nov 2007
Posts
100
Simple probability question...
Out of 20 components, 3 are defective. Two components are chosen at random from these 20 components. Determine the probability that they will both be defective.
I thought these... | 4 | [
0.0224609375,
0.02001953125,
0.0859375,
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0.06884765625,
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0.034423828125,
0.04150390625,
0.068359375,
0.13671875,
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0.1015625,
0.056884765625,
0.0238037109375,
-0.01007080078125,
-0.07177734375,
0.026000976562... | 38,331 | 38331 | |
Problem from my test! Help!
December 14th 2007, 09:01 AM #1
Newbie
Joined
Dec 2007
Posts
2
Problem from my test! Help!
Hey have a look at these
You have 2 standard 52 card decks of cards that have been shuffled randomly. You turn over the first card from the first deck, and the first card from the s... | 5 | [
-0.013916015625,
0.0272216796875,
0.06689453125,
0.013916015625,
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-0.05712890625,
-0.06201171875,
0.03759765625,
-0.00775146484375,
-0... | 38,332 | 38332 | |
Countability of eigenvalues of a linear operator
up vote 1 down vote favorite
1
Is it true that every closed operator on a separable Hilbert H space only has countably many eigenvalues?
Or put the other way around, if I want to ensure that a (not necessarily bounded) linear operator on a separable Hilbert space only ... | 5 | [
0.0361328125,
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0.0458984375,
0.029296875,
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-0.0284423828125,
-0.05419921875,
-0... | 38,333 | 38333 | |
Final Exams: Taylor Polynomail Help!!!
May 20th 2005, 06:18 AM #1
Newbie
Joined
May 2005
Posts
17
Hello!! Boy am I glad that there is such a site!!
I have my final exams approaching in 2 days and im studing
Distance-Ed... so im in dire need of some help!
This is my question!
Determine the... | 5 | [
0.0034332275390625,
-0.029541015625,
0.030517578125,
0.0123291015625,
-0.0390625,
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0.00213623046875,
-0.053466796875,
-0.0634765625,
-0.013916015625,
-0.041015625,
-0.... | 38,334 | 38334 | |
Understand Cech Cohomology
up vote 11 down vote favorite
12
I am currently trying to understand Cech cohomology. Five questions arised and I would be glad for help. In what follows $X$ is a topological space.
• I really like Dugger's and Isaksen's paper "Topological Hypercovers and ...". They prove for an arbitrary... | 4 | [
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0.0185546875,
0.0196533203125,
-0.019775390625,
-0... | 38,335 | 38335 | |
Help needed please!
April 26th 2008, 02:52 PM
doctorgk
Help needed please!
A rectangle made of elastic material will be made into a cylinder by joining edges AD and BC. To support the structure, a wire of fixed length L is placed along the diagonal of the rectangle.
Find the angle $\theta$ that will result i... | 5 | [
-0.061279296875,
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0.... | 38,336 | 38336 | |
Group Theory - Find a bijection F: Xo -> Xe (Xo-odd, Xe-even)
February 3rd 2011, 12:13 PM #1
Junior Member
Joined
Sep 2010
Posts
64
Group Theory - Find a bijection F: Xo -> Xe (Xo-odd, Xe-even)
Hi, I have the following problem. I have solved the second part, but I don't know how to solve the first one.
... | 5 | [
0.0146484375,
0.05810546875,
0.1123046875,
-0.002227783203125,
0.054931640625,
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-0.0252685546875,
0.0390625,
0.08642578125,
0.025146484375,
-0.05053710937... | 38,337 | 38337 | |
Geometric interpretation of the argument of the Fubini-Study bilinear form on projective space?
up vote 5 down vote favorite
1
Let $s_0$ and $s_1$ be the holomorphic sections of the tautological bundle $O(1)$ over the complex projective line ${\mathbb{CP}}^1$ which correspond to the functions $1$ and $\frac{x_1}{x_0}$... | 4 | [
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0.00946044921875,
-0.... | 38,338 | 38338 | |
Ultrafilter and contracting maps
up vote 2 down vote favorite
I was trying to construct some element with specific properties in an ultraproduct and it boils down to a question which seems relatively natural but leaves me perfectly clueless.
$\textbf{Question:}$ Pick some $\alpha \in (0,1)$. Let $\phi:\mathcal{P} _{f... | 5 | [
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0.03759765625,
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-0.0859375,
0.04443359375,
-0.0038299560... | 38,339 | 38339 | |
Derivate that a function is injective
March 6th 2011, 04:51 PM #1
Member
Joined
May 2008
Posts
87
Derivate that a function is injective
If we have that f and f o g (that is, f(g) ) are both injective, must then g be injective?
I find that this is false and I show it with an example, where I have
... | 5 | [
-0.0036163330078125,
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-0.0047607421875,
-0.03125,
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0.0203857421875,
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0.035888671875,
0.04638671875,
-0.036376953125... | 38,340 | 38340 | |
rates and word questions
October 21st 2009, 01:50 AM #1
Junior Member
Joined
Jul 2008
Posts
33
rates and word questions
1.
It takes 40 labourers to harvest a land of area 9600 m2 in 12 hours time. How many labourers it would take to harvest 17600 m2 of land in 10 hours?
Method:
I assumed th... | 4 | [
0.01055908203125,
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0.012451171875,
0.0791015625,
-0.0184326171875,
0.0703125,
0.0206298828125,
-0.021240234... | 38,341 | 38341 | |
are closed subfunctors complimentary to open subfunctors?
up vote 5 down vote favorite
I apologize if the following question has already been asked and settled. I couldn't find any thread.
Say, $\mathcal{C} = (Sch/k)$, the category of schemes over $k$ (a field). Let $\mathcal{F} \in \mathcal{C}^{\wedge}$, be an objec... | 5 | [
0.0228271484375,
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0.040771484375,
0.0291748046875,
0.0124... | 38,342 | 38342 | |
order of convergence of the conditional entropy (3)
up vote 2 down vote favorite
I'm sorry for having open two questions which have been solved by elementary counter-examples provided by @AnthonyQuas. Actually I'm not an expert in information theory and I expected that a positive
answer to these questions could be der... | 4 | [
-0.046875,
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0.0262451171875,
0.0341796875,
-0.054443359375... | 38,343 | 38343 | |
First-Order Separable ODE
September 29th 2011, 07:35 PM #1
Member
Joined
Jan 2011
Posts
156
First-Order Separable ODE
I feel like I've been thrown into a pool with no swimming lessons...
Thanks for all the help on these tonight. I have quite a few more, and very little instruction as to how to addre... | 5 | [
-0.0654296875,
-0.048095703125,
0.1298828125,
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0.013427734375,
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0.048828125,
-0.049560546875,
-0.02294921875,
0.005523681640625,
-0.02734375,... | 38,344 | 38344 | |
space of geodesics
up vote 3 down vote favorite
1
hallo,
i have the following problem: Let $(M,g)$ be a compact Riemannian manifold with metric $g$ and $\nabla$ be the Levi-Civita Connection. Denote by $G(M) =${$\gamma: \mathbb{R} \rightarrow M | \gamma \
text{ is a geodesic } $} the space of geodesics on $M$ with re... | 5 | [
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-0.01495361328125,
-0.046875,
0.02392... | 38,345 | 38345 | |
Defferentiation
October 3rd 2011, 10:29 AM #1
Newbie
Joined
Oct 2011
Posts
3
Defferentiation
rocks are filling a cone at 72in^3 per min. during every interval of time the cone has a height, h, which is always 6 times the radius. what is the rate of change of the radius of the cone at the
instant when... | 4 | [
0.0299072265625,
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-0.06640625,
0.056640625,
0.0032958984375,
-0.06591796875,
0.0159912109375... | 38,346 | 38346 | |
Find in terms of C
June 4th 2009, 07:40 AM #1
Find in terms of C
Having trouble with making the common denominator work. please help.
Cheers
Find x in terms of c, given that ( 2 / 3x - 2c ) + (3 / 2x - 3c) = 7 / 2c
just a question
$(\frac{2}{3x}-2c)+(\frac{3}{2x}-3c)=\frac{7}{2c}$
or
... | 4 | [
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0.06640625,
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0.0308837890625,
-0.004913330078125,
0.0274658203125,
-0.0673828125,
0.0581054... | 38,347 | 38347 | |
equations
September 28th 2009, 06:43 AM #1
Member
Joined
Aug 2009
Posts
211
equations
prove that the line with the equation $x + 2y = 2$ and the curve with equation $y = 3x^2 - 2x + 2$ have no points of intersection
i started by putting the first equation into the second after making the first equat... | 4 | [
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-0.007232666015625,
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0.06640625,
0.0169677734375,
-0.016357421875,
0.119140625,
0.05322265625,
0.03759765625,
0.045166015625,
0.010498046875,
0.033935546875,
-0.09033203125,
-0.103515625... | 38,348 | 38348 | |
Prove it's not uniformly continous
November 15th 2009, 06:08 PM #1
Prove it's not uniformly continous
Examine the uniform continuity of f : $[0,\infty) \rightarrow$ R given by f(x) := $e^{-x}$ on $[0,\infty)$.
I know it's not uniformly continuous but how do I prove that?
It is uniformly continous:
... | 5 | [
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0.0128173828125,
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0.08642578125,
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0.01153564453125,
-0.01531982421875,
0.046875,
... | 38,349 | 38349 | |
There is a vast range of the rates of radioactive decay, from undetectably slow to unmeasurably short. Before considering the factors governing particular decay rates in detail, it seems appropriate
to review the mathematical equations governing radioactive decay and the general methods of rate measurement in different... | 4 | [
-0.01318359375,
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0.06494140625,
0.036376953125,
-0.01153564453125,
-0.026123046875,
-0.06787... | 38,350 | 38350 | |
Bonus Question
August 25th 2010, 05:39 AM #1
Banned
Joined
Aug 2010
From
Singapore
Posts
93
Bonus Question
Dear friends,
The function g is defined by g(x)= $\frac {1}{(x-5)(x+3)}$, x not equal to 3 and 5.
i) Find the coordinates of the turning point of the curve y=g(x).
ii) Hence, sket... | 5 | [
-0.036865234375,
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0.0634765625,
-0.034912109375,
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-0.002685546875,
-0.004486083984375,
0.040283203125,
-0.0... | 38,351 | 38351 | |
Group Action
December 2nd 2011, 01:20 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Group Action
Let G be a finite group acting on the set S. Suppose $H\trianglelefteq G$ so that for any $s_1,s_2\in S$ there is a unique $h\in H$ so that $hs_1=s_2$. For each $s\in S$, let... | 4 | [
-0.0064697265625,
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-0.0303955078125,
-0.0302734375,
0.06884765625,
-0.00... | 38,352 | 38352 | |
Commutative Ring
November 22nd 2009, 06:21 PM
johnt4335
Commutative Ring
How is it that a commutative ring F(R) defined by the operations of pointwise addition and pointwise multiplication contains elements f != 0, 1 that satisfy f^2 = f?
November 24th 2009, 06:51 AM
ux0
I think you meant to say..
$f... | 4 | [
0.01519775390625,
0.0283203125,
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0.0703125,
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-0.012451171875,
-0.00811767578125,
-0.0025482177734375,
-0.0... | 38,353 | 38353 | |
Math Help
January 12th 2008, 12:28 PM #1
Member
Joined
May 2007
Posts
150
functions
Suppose f(t) = a * b^t. If f(5) = 1000 and f(8)= 3000, then find the exact value of f(20)
thanks
$f(5) = ab^5 = 1000$
and
$f(8) = ab^8 = 3000$
So
$\frac{f(8)}{f(5)} = \frac{ab^8}{ab^5} = \frac{... | 4 | [
-0.0390625,
0.0302734375,
-0.1083984375,
-0.011962890625,
-0.07275390625,
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0.0296630859375,
0.01312255859375,
0.09423828125,
-0.09326171875,
0.025634765625,
... | 38,354 | 38354 | |
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Topic: when a linear closed operator presearves measurabi... | 5 | [
-0.076171875,
-0.0194091796875,
0.08447265625,
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0.00714111328125,
0.008544921875,
-0.0211181640625,
-0.0140380859375,
0.06298828125,
0.0400390625,
-0.04... | 38,355 | 38355 | |
An application of Zorn's lemma.
up vote 3 down vote favorite
Suppose that $R$ is a commutative ring, an $R$-module $M$ is said to be finitely embedded if $M$ has a finitely generated essential socle. Now Let $M$ be finitely embedded and not artinian, let $S$
be the set of all submodules $N$ of $M$ such that $M/N$ is n... | 4 | [
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0.0167236328125,
0.0756835... | 38,356 | 38356 | |
Inductance
Induction is the process in which an emf is induced by changing magnetic flux. Many examples have been discussed so far, some more effective than others. Transformers, for example, are designed to be
particularly effective at inducing a desired voltage and current with very little loss of energy to other for... | 5 | [
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0.10595703125,
0.0854492... | 38,357 | 38357 | |
Quadratic formula to find zero
May 2nd 2010, 03:55 PM
Jackie10
Quadratic formula to find zero
Use the quadratic formula to find the zeros of the function
f(x)=x^2-6x+18
i get
x=6 +- Square r0ot of -6^2-4(1)(18)
x=6 +- squareroot of 36-72
which = -36
then
6 +_ 6i
__________
... | 4 | [
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0.0439453... | 38,358 | 38358 | |
Factorising a quadratic trinomial
Last edited by mr fantastic; October 17th 2009 at 09:43 PM. Reason: Changed post title
Hi Tessarina, this might assist: The factors of 6 (call them a & c) 1 x 6 = 6 2 x 3 = 6 The factors of 10 (call them b & d) 1 x 10 = 10 2 x 5 = 10 Since -10 is negative you know that one of the sign... | 4 | [
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0.01190185546875,
0.1118... | 38,359 | 38359 | |
Cosets form a partition of X
April 2nd 2013, 03:45 PM
douglasdc
Cosets form a partition of X
Hello guys, I hope I'm posting in the right place.
I'm having problems solve the following problem: Let Y be a subspace of a vector space X. Show that the distinct cosets x + Y (x in X) form a partition of X.
I... | 4 | [
-0.042236328125,
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... | 38,360 | 38360 | |
hooke's law help
May 29th 2011, 02:40 AM
boromir
hooke's law help
A spring is attached to a block, mass m, on a frictionless ramp. Let ${\theta}$ be the angle the plane makes with the horizontal. Assume the spring has unstreched length t and constant k.
1) establish the forces acting on the block. I got nor... | 5 | [
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0.11181640625,
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0... | 38,361 | 38361 | |
Formula for Area of Any Regular Polygon
Date: 03/01/98 at 20:42:54
From: Andrew Miklas
Subject: 3D Geometry
Is there a formula to calculate the area of a regular polygon that
uses the number of sides and the length of a side as the inputs?
For example,
Sides Length of Side Area
___________________________... | 4 | [
0.01348876953125,
0.0166015625,
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0.1025390625,
0.02587890625,
-0.03369140625,
-0.07568359375,
0.022... | 38,362 | 38362 | |
Is y the Same on Both Sides?
Date: 9/4/96 at 19:45:45
From: Anonymous
Subject: What Does y Mean?
3/4 + y = 0.75 + y
I thought maybe the y would be the same on both sides, but I'm
not too sure.
Date: 9/4/96 at 20:7:48
From: Doctor Tom
Subject: Re: What Does y Mean?
I assume that you're trying to solve the equatio... | 4 | [
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-0.09228515625,
-0.03... | 38,363 | 38363 | |
ti30xa
TI-3 0Xa/30Xa Solar, English
w w w. t i . c o m / c a l c ti-cares@ti.com
TI-30Xa
and
TI-30Xa SOLAR
Scientific Calculators
Basic Operations ................................. 2
Results .......................................... 3
Basic Arithmetic ........... | 4 | [
0.01708984375,
0.017578125,
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0.103515625,
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0.0050048828125,
-0.0037689208984375,
-0.0... | 38,364 | 38364 | |
Trigonometric Identities
Date: 11/13/97 at 00:13:07
From: Charlotte
Subject: Trigonometric identities
Dear Dr. Math,
I am currently taking Trig in my junior year and I am having trouble
finding an easy way to understand identities for trigonometric
functions. For example, when I am faced with a problem such as this... | 5 | [
-0.09375,
0.0712890625,
0.072265625,
0.0576171875,
0.0181884765625,
0.049560546875,
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0.046875,
0.000919342041015625,
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-0.0013885498046875,
-0.035400390625,
0.09375,... | 38,365 | 38365 | |
parametrization of curves
November 19th 2010, 08:32 AM
Sogan
parametrization of curves
Hello,
I have a question about parametrization of "submanifolds" or curves, respectively.
In particular in the following example:
"Let M $\subset \mathbb{R}^2$ be the set of all points which have the product of t... | 5 | [
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0.031494140625,
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0.099609375,
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... | 38,366 | 38366 | |
Topologizing free abelian groups
up vote 12 down vote favorite
3
For any set $S$ one can consider the free abelian group $\mathbb{Z}[S]$ generated by this set. Now suppose, there is a topology on $S$ given. Is it possible to find a topology on $\mathbb{Z}[S]$ in
such a way, that:
i) The map $S\rightarrow \mathbb{Z}[S... | 4 | [
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0.0625,
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0.005859375,
0.02294921875,
0.0859375... | 38,367 | 38367 | |
partial differentiation
1. December 13th 2012, 09:01 PM #1
2. December 13th 2012, 09:42 PM #2
Re: partial differentiation
We are given:
$PV=mRT$
hence:
$P=\frac{mRT}{V}\,\therefore\,\frac{\delta P}{\delta V}=-\frac{mRT}{V^2}$
$V=\frac{mRT}{P}\,\therefore\,\frac{\delta... | 5 | [
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0.0546875,
0.0... | 38,368 | 38368 | |
tree diagram
May 29th 2010, 06:15 AM #1
Super Member
Joined
Oct 2008
From
Bristol, England
Posts
897
tree diagram
hi this is my question:
A bag contains 20 coins.
There are 6 gold coins and the rest are silver.
A coin is taken at random from the bag.
The type of coin is recorded and... | 4 | [
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0.05810546875,
-0.006866455078125,
0.0025482177734375,
0.09423828125,
-0.0634765625,
0.035156... | 38,369 | 38369 | |
After many hours of trying, I am stuck.
December 3rd 2006, 11:01 AM
Dave J
After many hours of trying, I am stuck.
Theres this one question I was doing for practice that I just cannot do. Even though I know the answer is -0.94, I cant figure out how.
The question goes as followed.
In a computer game, t... | 5 | [
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0.11865234375,
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0.072265625,
-0.0194091796875,
-0.... | 38,370 | 38370 | |
Inequality
January 14th 2010, 05:23 PM
ashleydevos
Inequality
Help!! I need help finding x.
2x – (7 + x) < x
2x - 7 - x <= x
x - 7 <= x
The x cancels out, so is the answer that circle with the diagonal line through it?
January 14th 2010, 05:35 PM
skeeter
Quote:
$x-7 \le x$
you... | 4 | [
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0.0303955078125,
0.041015625,
-0.041015625,
-0.00286865234375,
-0.05200... | 38,371 | 38371 | |
transformation - sorry really don't know how to describe the question!
November 19th 2012, 10:56 AM
carla1985
transformation - sorry really don't know how to describe the question!
For φ in [0, 2pi) and (x[1, ]x[2]) in R^2 we define a transformation.
R(φ):R^2 ---> R^2
x ---> R(φ)x=y=(y[1],y[2])
wher... | 4 | [
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0.00921630859375,
... | 38,372 | 38372 | |
Groups with large negative deficiency
up vote 6 down vote favorite
2
Hello, I've just learnt the notion of deficiency of a group but I don't know how work with it. I want to construct a group with large negative deficiency ; naively I think that $(Z_2)^n$ will work
because we need $n$ generators and $n$ relations for ... | 5 | [
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0.07177734375,
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-0.02294921875,
0.0361328125,
0.052490234... | 38,373 | 38373 | |
Miscellaneous series
Note that this is the same as $\sum_{k=0}^{\infty}\left[\sum_{j=0}^{k}a^{j}\cdot r^k\right]$. If $\left|a\right|<1$ and $\left|r\right|<1$, then it follows that $\sum_{k=0}^{\infty}\left[\sum_{j=0}^
{k}a^{j}\cdot r^k\right]=\sum_{k=0}^{\infty}\left(\frac{1-a^{k+1}}{1-a}\right)r^k=\frac{1}{1-a}\sum_... | 5 | [
-0.031494140625,
0.00543212890625,
-0.049560546875,
0.039794921875,
-0.034423828125,
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0.0240478515625,
-0.061279296875,
0.06884765625,
0.08984375,
-0.0654296875,
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0.06640625,
-0.05126953125,
-0.03759765625,
-0.07177734375,
-0.01531... | 38,374 | 38374 | |
find the minimum
March 15th 2007, 06:48 PM #1
Newbie
Joined
Dec 2006
Posts
8
find the minimum
These are extra credit problems that i have absolutely no clue how to do. So when explaining, please use a step-by-step solution.. explaining everything. Im in pre-calc if that helps you
determine what i alr... | 4 | [
0.005950927734375,
0.0595703125,
0.006683349609375,
0.033203125,
-0.04541015625,
0.0849609375,
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0.091796875,
0.017578125,
-0.0267333984375,
0.004119873046875,
-0.048828125,
0.091796875,
0.08056640625,
-0.0306396484375,
0.05322265625,
0.0439453125,
-0.035888671875,
... | 38,375 | 38375 | |
Kähler potentials that depend only on geodesic distance
up vote 5 down vote favorite
2
Hermitian symmetric spaces of constant curvature have the property that the potential for their Kähler metric can be expresed as some function of the geodesic distance. Does anyone know if there are
any general results concerning Kä... | 4 | [
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-0.0225830078125,
-0.0220947265625,
... | 38,376 | 38376 | |
tan trig angle formula
March 29th 2009, 10:47 AM #1
Senior Member
Joined
Nov 2008
Posts
425
tan trig angle formula
Determine an exact value for the expression:
[sin(pi/3)-cos(5pi/6)]
----------------------
[1-tan(3pi/4)cot(pi/4)]
ok, here are my steps: can someone tell me where my error... | 4 | [
-0.0255126953125,
0.00830078125,
0.017822265625,
0.031982421875,
0.033203125,
0.0279541015625,
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-0.0032196044921875,
0.059326171875,
0.0191650390625,
0.0089111328125,
-0.0625,
-0.019775390625,
0.03564453125,
0.06005859375,
-0.007415771484375,
-0.0869140625,
0.0281982... | 38,377 | 38377 | |
Help needed (Frobenius method)
June 27th 2009, 12:21 PM #1
Member
Joined
Apr 2009
From
Jerusalem - Israel
Posts
108
Help needed (Frobenius method)
any 1 can help me on solving the following question plz.
Use Frobenius method to solve the following differential equation
X2Y'' +X(2-X)Y'-2Y= 0... | 4 | [
-0.06640625,
-0.000698089599609375,
0.06982421875,
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0.029052734375,
-0.01031494140625,
0.033447265625,
0.04248046875,
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-0.0133056640625,
-0.04345703125,
-0.00970458984375,
0.04248046875,
-0.03271484375,
-0.09... | 38,378 | 38378 | |
How do I optimize surface area with set volume?
May 27th 2008, 02:30 PM #1
I'm so confused right now. I don't know calculus, and that is how people have been explaining things to me as of yet, so if there is any other way of doing this can someone explain it?
You are to design a cylindrical tank with a mi... | 5 | [
0.0185546875,
0.123046875,
-0.03369140625,
-0.068359375,
-0.0089111328125,
0.0034332275390625,
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0.115234375,
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0.0849609375,
0.08251953125,
-0.039306640625,
0.0126953125,
0.043701171875,
0.0615234375,
-0... | 38,379 | 38379 | |
Prime Numbers and n^2-n+41
Date: 07/23/2003 at 00:56:08
From: John
Subject: Prime numbers
I wonder if you could explain the way n^2 - n + 41 works to produce a
prime number for every integer value, and why it fails when n = 41
(specific explanation).
Date: 07/25/2003 at 19:37:39
From: Doctor Mike
Subject: Re: Prime... | 4 | [
0.01153564453125,
0.115234375,
0.078125,
0.051513671875,
0.019775390625,
0.0439453125,
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0.08203125,
0.00104522705078125,
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0.041015625,
-0.025146484375,
-0.060546875,
0.003173828125,
-0.00885009765625,
... | 38,380 | 38380 | |
Spread of a Virus Through a City
Date: 05/09/2002 at 04:49:24
From: Katy
Subject: Virus Calculation
A Flu-like virus is spreading through a city of population
260,000 at a rate proportional to the product of the number of
people already infected and the number of people still
uninfected. If 600 people were infected i... | 5 | [
-0.01153564453125,
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0.09521484375,
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0.07275390625,
0.09375,
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0.05126953125,
0.06982421875,
-0.010009765625,
0.04443359375,
-0.12353515625,
-0.04... | 38,381 | 38381 | |
S
CS 61B: Data Structures (Spring 2005)
Final Exam
Solutions
Problem 1. (8 points) A Miscellany.
a. No. Simply setting the head field to null makes the listnodes unreachable, so a mark & sweep garbage collector can reclaim all of them.
b. This hash code does not differentiate between two different cells for which i... | 5 | [
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-0.00677490234375,
0.04248046875,
0.010498046875,
0.00182342529296875,
0.0322265625,
-0.07470703125,
-0.0869140625,
0.0145263671875,
-0.00921630859375,... | 38,382 | 38382 | |
Rates of Decay
In the question attached what is the answer to part b) i can do part a) and c) thanks
Last edited by nath_quam; June 18th 2006 at 12:08 AM.
nath_quam you could see the $\frac{dI}{dt}= -5(1-cosx)$ where x= $\frac {\pi*t}{12}$ now, 1- cosx is always greater than or equal to zero. if 1- cosx is greater th... | 4 | [
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urgent! answer needed tonight please!
September 20th 2005, 12:31 PM
emydawn
urgent! answer needed tonight please!
In triangle ABC, AB= 10cm, BC= a√3 cm, AC=5√13 cm and angle ABC=150 degrees.
Calculate:
a) the value of a
b) the exact area of triangle ABC
this is the question that i got 8.... | 4 | [
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Can one find the hodge number by counting points over finite fields?
up vote 10 down vote favorite
3
Given a proper smooth variety $X$ of dimension $n$ over $\mathbb{C}$, assume it has a model over a DVR of mixed characteristic $(0,p)$ with residue field $\mathbb{F}_q$, and assume the closed fiber
$X_0$ is smooth.
By... | 5 | [
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Global Reversibility of Cellular Automata
Consider the one-dimensional Boolean cellular automata defined such that the new value of each cell is a fixed function of the current value of the cell and its two nearest neighbors. There are eight
possible 3-bit strings, and the function ("rule") assigns the successor value... | 4 | [
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Negative values of Riemann zeta function on the critical line.
up vote 7 down vote favorite
3
From parametric plots of $\zeta \left( \frac{1}{2} + it \right)$ it seems to be the case that:
(1) except for $\zeta(\frac{1}{2})$ the Riemann zeta function does not attain any negative real value on the critical line.
(2) th... | 4 | [
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2nd order parametric differentiation problem
November 6th 2010, 09:34 AM #1
Member
Joined
Jan 2009
From
London
Posts
92
2nd order parametric differentiation problem
I'm slightly confused with this problem:
$x(t) = t^3 + 3t + 1$ & $y(t) = ln(3t^2 - 3)$
Find the function $p(t)$ such that:
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0.00... | 38,388 | 38388 | |
Math Help
Converge? $<br /> \sum\limits_{n = 1}^\infty {\frac{{\sin (n)}}<br /> {n}} <br />$ thanks
Yes. It can be proven by Dirichlet's test that $\sum_{n=1}^{\infty}\frac{\sin n}{n}$ and $\sum_{n=1}^{\infty} \frac{\cos n}{n}$ converge.
It is more interesting to sum this series. Remember that $2i\sin (x) = \sinh (i... | 5 | [
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Analysis: Sequences
November 16th 2008, 02:36 PM #1
Junior Member
Joined
Apr 2008
Posts
30
Analysis: Sequences
Suppose lim Sn = S with S > 0.. Prove that there exists a real number N such that Sn > 0 for all natural numbers n.
$\begin{gathered}<br /> S > 0 \Rightarrow \quad \frac{S}<br /> {2} > 0 \h... | 4 | [
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0.054931640625,
-... | 38,390 | 38390 | |
help needed with exponents
April 23rd 2007, 11:22 AM #1
Newbie
Joined
Apr 2007
Posts
3
help needed with exponents
hi there i've been looking everywhere and just can't seem to work this out. any help would be greatly appreciated.
(x + 1)^(3/2)
2(x + 1)^(3/2) = 27/4 ...........we deal with powers... | 4 | [
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STEPS Calculate the unit vector nBC and the resulting tension
A right angle pipe OAB is shown in Figure 1. Replace the 750-N
tensile force, which the cable exerts on point B by a force-couple
system at point O.
... | 5 | [
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Accelerated
This yields the following peculiar consequence: If there are two synchronous clocks, and one of them is moved along a closed curve with constant [speed] until it has returned, then this clock will
lag on its arrival behind the clock that has not been moved.
... | 4 | [
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Topic: ellipse, mean distance from point on perimeter to ... | 4 | [
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power derivative
November 19th 2007, 12:54 PM #1
Newbie
Joined
Jul 2007
Posts
11
power derivative
hi, i have two questions. Hoepfully someone can help me with them.
1. Find d/dx(x^2)
2. Find the normal to the curve for y=x^3 at the point (1,1).
THANKSS!!!!
i assume if you are asking thi... | 4 | [
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Picard group of scheme over DVR
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let $A$ be a DVR and let $X/A$ be a smooth, proper scheme with geometrically integral fibers. Is there an easy way to see that the Picard group of... | 5 | [
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... | 38,396 | 38396 | |
0 Power
Associated Topics || Dr. Math Home || Search Dr. Math
0 Power
Date: 8/4/96 at 16:1:48
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April
A mom shared that her P1 daughter in Hong Kong was posed this mathematics problem:
AB + B = BA
A = ________B = ________
How do you teach a P1 child algebra?
Lily
In formal algebra, ab means the product of a and b. I do not think that is what the problem is about. In this problem, I believe A and B represen... | 4 | [
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Generator density in $\mathbb{Z}^*_p$
up vote 2 down vote favorite
1
Hello,
Consider the multiplicative group $(\mathbb{Z}/p)^*$ for a given prime $p$. We know that the number of generators in this group is $\phi(p-1)$ --- the Euleur totient function. The question is, for $0
\leq a < a + \log^{c} p < b \leq p-1$ wher... | 4 | [
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